{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Feature Normalization and Pairwise Transform\n",
    "\n",
    "In this notebook, we cover the third step of Learning to Rank: Before training a model, LTR often requires a level of transformation to make the the problem suitable for classic machine learning approaches. In this notebook, we transform our the judgment list generated from [the previous step](2.judgments-and-logging.ipynb) first by normalizing the features using their mean & stand deviation. After that we examine a pair-wise transform used by the SVMRank model to make LTR a binary classification problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import requests\n",
    "import numpy\n",
    "from aips import *\n",
    "engine = get_engine()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Recreate last section\n",
    "\n",
    "Rebuild everything from last section we'll need to work with the full training set. \n",
    "\n",
    "Start by making sure the feature set is installed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#%run chapters/ch10/2.judgments-and-logging.ipynb"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Log large training set\n",
    "\n",
    "Log the full training set of ~100 movie queries, each with ~40 graded documents. Save judgment list with features logged as `logged_judgments`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Duplicate docs in for query id 67: {'2503'}\n",
      "Missing doc 225130 with error\n",
      "Missing doc 37106 with error\n",
      "Duplicate docs in for query id 74: {'11852'}\n",
      "Missing doc 61919 with error\n",
      "Missing doc 67479 with error\n",
      "Missing doc 17882 with error\n",
      "Duplicate docs in for query id 95: {'17431'}\n",
      "Duplicate docs in for query id 98: {'1830'}\n",
      "Parsing QID 100\n",
      "Duplicate docs in for query id 99: {'9799'}\n",
      "Missing doc 61920 with error\n",
      "Sample of Logged Judgments:\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[Judgment(grade=1,qid=1,keywords=rambo,doc_id=7555,features=[5.9264307, 5.078817, 2008.0],weight=1),\n",
       " Judgment(grade=1,qid=1,keywords=rambo,doc_id=1370,features=[5.025649, 5.751174, 1988.0],weight=1),\n",
       " Judgment(grade=1,qid=1,keywords=rambo,doc_id=1369,features=[3.4517245, 4.8904457, 1985.0],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=13258,features=[0.0, 4.5890946, 2007.0],weight=1),\n",
       " Judgment(grade=1,qid=1,keywords=rambo,doc_id=1368,features=[0.0, 5.394124, 1982.0],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=31362,features=[0.0, 3.7886639, 1988.0],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=61410,features=[0.0, 2.1226306, 2010.0],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=319074,features=[0.0, 0.0, 2015.0],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=10296,features=[0.0, 0.0, 2004.0],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=35868,features=[0.0, 0.0, 2001.0],weight=1)]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ltr.log import FeatureLogger\n",
    "from ltr.judgments import judgments_open\n",
    "from itertools import groupby\n",
    "from ltr import download\n",
    "\n",
    "collection = engine.get_collection(\"tmdb\")\n",
    "ftr_logger=FeatureLogger(index=collection, feature_set=\"movie_model\")\n",
    "\n",
    "with judgments_open(\"data/ai_pow_search_judgments.txt\") as judgment_list:\n",
    "    for qid, query_judgments in groupby(judgment_list, key=lambda j: j.qid):\n",
    "        ftr_logger.log_for_qid(judgments=query_judgments, \n",
    "                               qid=qid,\n",
    "                               keywords=judgment_list.keywords(qid))\n",
    "\n",
    "logged_judgments = ftr_logger.logged\n",
    "\n",
    "# Now should have lots of judgments with title_bm25, overview_bm25, and release_year \n",
    "# logged out\n",
    "print(\"Sample of Logged Judgments:\")\n",
    "display(logged_judgments[0:10])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot logged features\n",
    "\n",
    "*Source for Figs 10.7*\n",
    "\n",
    "This data set also has queries `star wars` and `social network` let's see what those look like by plotting the raw BM25 features we logged for documents labeled relevant / irrelevant.\n",
    "\n",
    "Data points note:\n",
    "\n",
    "- The green + in the upper right is \"The Social Network\"\n",
    "- The red + with the largest `title_bm25` score is \"Star Wars\"\n",
    "- The red + with ~6 `title_bm25` and ~5 `overview_bm25` is \"Star Wars: The Clone Wars\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/jovyan/ltr/plots.py:49: UserWarning:\n",
      "\n",
      "No data for colormapping provided via 'c'. Parameters 'norm' will be ignored\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ltr.plots import plot_judgments\n",
    "\n",
    "plot_judgments(qids=[11,40], focus=[11,40], \n",
    "               xlabel=\"Title BM25\",\n",
    "               ylabel=\"Overview BM25\",\n",
    "               title_prepend=\"Logged features for queries:\",\n",
    "               judg_list=ftr_logger.logged)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Feature Normalization Function (omitted from book)\n",
    "\n",
    "As we describe in the book, SVMs are sensitive to the range of the underlying data. They work best with normalized features, which we do here.\n",
    "\n",
    "This function computes the mean and standard deviation of all 3 of our features, then scales each feature value accordingly so that feature values at the mean are mapped to 0. And +1 corresponds to 1 std deviation above the mean. -1 1 standard deviation below, etc\n",
    "\n",
    "We capture the mean and standard deviation of each feature for later work"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sample of Normed Judgments:\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[Judgment(grade=1,qid=1,keywords=rambo,doc_id=7555,features=[3.101419298310874, 2.9435572663457967, 0.7345398019737361],weight=1),\n",
       " Judgment(grade=1,qid=1,keywords=rambo,doc_id=1370,features=[2.5643638127604715, 3.39208088257628, -0.2672174491148639],weight=1),\n",
       " Judgment(grade=1,qid=1,keywords=rambo,doc_id=1369,features=[1.6259735384385419, 2.817896379837532, -0.4174810367781539],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=13258,features=[-0.4319807665098383, 2.6168676330154805, 0.6844519394193062],weight=1),\n",
       " Judgment(grade=1,qid=1,keywords=rambo,doc_id=1368,features=[-0.4319807665098383, 3.1538958749462647, -0.5677446244414439],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=31362,features=[-0.4319807665098383, 2.082907144605458, -0.2672174491148639],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=61410,features=[-0.4319807665098383, 0.9715105495281311, 0.8347155270825962],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=319074,features=[-0.4319807665098383, -0.444478207387438, 1.0851548398547461],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=10296,features=[-0.4319807665098383, -0.444478207387438, 0.5341883517560162],weight=1),\n",
       " Judgment(grade=0,qid=1,keywords=rambo,doc_id=35868,features=[-0.4319807665098383, -0.444478207387438, 0.38392476409272613],weight=1)]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from ltr.judgments import Judgment\n",
    "\n",
    "def normalize_features(logged_judgments):\n",
    "    all_features = []\n",
    "    means = [0,0,0]\n",
    "    for judgment in logged_judgments:\n",
    "        for idx, f in enumerate(judgment.features):\n",
    "            means[idx] += f\n",
    "        all_features.append(judgment.features)\n",
    "    \n",
    "    for i in range(len(means)):\n",
    "        means[i] /= len(logged_judgments)\n",
    "      \n",
    "    std_devs = [0.0, 0.0, 0.0]\n",
    "    for judgment in logged_judgments:\n",
    "        for idx, f in enumerate(judgment.features):\n",
    "            std_devs[idx] += (f - means[idx])**2\n",
    "            \n",
    "    from math import sqrt\n",
    "    for i in range(len(std_devs)):\n",
    "        std_devs[i] /= len(logged_judgments)\n",
    "        std_devs[i] = sqrt(std_devs[i])\n",
    "        \n",
    "    # Normalize!\n",
    "    normed_judgments = []\n",
    "    for judgment in logged_judgments:\n",
    "        normed_features = [0.0] * len(judgment.features)\n",
    "        for idx, f in enumerate(judgment.features):\n",
    "            normed = (f - means[idx]) / std_devs[idx]\n",
    "            normed_features[idx] = normed\n",
    "        normed_judgment=Judgment(qid=judgment.qid,\n",
    "                                 keywords=judgment.keywords,\n",
    "                                 doc_id=judgment.doc_id,\n",
    "                                 grade=judgment.grade,\n",
    "                                 features=normed_features)\n",
    "        normed_judgment.old_features=judgment.features\n",
    "        normed_judgments.append(normed_judgment)\n",
    "\n",
    "    return means, std_devs, normed_judgments\n",
    "\n",
    "means, std_devs, normed_judgments = normalize_features(ftr_logger.logged)\n",
    "\n",
    "print(\"Sample of Normed Judgments:\")\n",
    "normed_judgments[0:10]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Listing 10.8 - Normalize"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Perform the normalization, and inspect the difference between of \"The Social Network\" between raw/logged and normalized feature values. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Judgment(grade=1,qid=11,keywords=social network,doc_id=37799,features=[8.243603, 3.8143613, 2010.0],weight=1)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "Judgment(grade=1,qid=11,keywords=social network,doc_id=37799,features=[4.482941696779275, 2.100049660821875, 0.8347155270825962],weight=1)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "means, std_devs, normed_judgments = normalize_features(logged_judgments)\n",
    "display(logged_judgments[360])\n",
    "display(normed_judgments[360])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Examine normalized judgments\n",
    "*Source for Figs 10.8-10.11*\n",
    "\n",
    "Examine the normalized judgments now, in preperation for transforming them with SVMRank's pair-wise transform"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ltr.plots import plot_judgments\n",
    "\n",
    "plot_judgments(qids=[11,40], \n",
    "               xlabel=\"Title BM25 Std Devs\",\n",
    "               ylabel=\"Overview BM25 Std Devs\",\n",
    "               title_prepend=\"Relevances for keywords:\",\n",
    "               judg_list=normed_judgments)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Listing 10.9 (Python Equivalent)\n",
    "\n",
    "Pairwise transformation from per-query judgmens -> feature and predictor deltas\n",
    "\n",
    "We put psuedocode in the book, but here we show the equivelant Python code. This code also transforms the data to a numpy array of predictors and features for later model training with an SVM."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def pairwise_transform(normed_judgments):\n",
    "        \n",
    "    from itertools import groupby\n",
    "    predictor_deltas = []\n",
    "    feature_deltas = []\n",
    "    \n",
    "    # For each query's judgments\n",
    "    for qid, query_judgments in groupby(normed_judgments, key=lambda j: j.qid):\n",
    "        query_judgments = list(query_judgments)\n",
    "\n",
    "        # Examine every judgment combo for this query, \n",
    "        # if they're different, store the pairwise difference:\n",
    "        # +1 if doc1_judgment more relevant\n",
    "        # -1 if doc2_judgment more relevant\n",
    "        for doc1_judgment in query_judgments:\n",
    "            for doc2_judgment in query_judgments:\n",
    "                j1_features = numpy.array(doc1_judgment.features)\n",
    "                j2_features = numpy.array(doc2_judgment.features)\n",
    "                             \n",
    "                if doc1_judgment.grade > doc2_judgment.grade:\n",
    "                    predictor_deltas.append(1)\n",
    "                    feature_deltas.append(j1_features -\n",
    "                                          j2_features)\n",
    "                elif doc1_judgment.grade < doc2_judgment.grade:\n",
    "                    predictor_deltas.append(-1)\n",
    "                    feature_deltas.append(j1_features -\n",
    "                                          j2_features)\n",
    "\n",
    "    # For training purposes, we return these as numpy arrays\n",
    "    return numpy.array(feature_deltas), numpy.array(predictor_deltas)\n",
    "\n",
    "feature_deltas, predictor_deltas = pairwise_transform(normed_judgments)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Pair-wise deltas, Star Wars and Social Network\n",
    "*source for Fig 10.9*\n",
    "\n",
    "The training set showing pair-wise differences in each feature for each relevant / irrelevant combo in each query"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ltr.plots import plot_pairwise_data\n",
    "\n",
    "# Filter down to a judgment list of our two fav queries \n",
    "# out of the normalized data\n",
    "just_star_wars_social_network = []\n",
    "for j in normed_judgments:\n",
    "    if j.qid == 11 or j.qid == 40:\n",
    "        just_star_wars_social_network.append(j)\n",
    "\n",
    "# Pairwise transform just these two, and plot\n",
    "features, predictors = pairwise_transform(just_star_wars_social_network)\n",
    "plot_pairwise_data(features, predictors,\n",
    "                   xlabel=\"Title BM25 (Delta Std Devs)\",\n",
    "                   ylabel=\"Overview BM25 (Delta Std Devs)\",\n",
    "                   title=\"Pairwise Differences, just Star Wars, Social Network\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Full dataset pairwise differences\n",
    "\n",
    "*Source for Figure 10.14*\n",
    "\n",
    "Note now with the full dataset's pairwise deltas computed, we can see relevant examples have a higher, positive `title_bm25` as we might expect."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from ltr.plots import plot_pairwise_data\n",
    "\n",
    "plot_pairwise_data(feature_deltas, predictor_deltas,\n",
    "                   xlabel=\"Title BM25 (Delta Std Devs)\",\n",
    "                   ylabel=\"Overview BM25 (Delta Std Devs)\",\n",
    "                   title=\"All Relevance Pairwise Differences\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Save intermediate data\n",
    "\n",
    "For the next notebook, we save off out normalized, transformed pair-wise data. We also save the normalized full judgment list so we can do a test-training split and evaluate the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "from ltr.judgments import judgments_to_file\n",
    "\n",
    "with open(\"data/feature_data.npy\", \"wb\") as f:\n",
    "    num_features=3\n",
    "    feature_data = numpy.append(feature_deltas, [means, std_devs] )\n",
    "    rows=feature_data.shape[0]//num_features    \n",
    "    cols=num_features\n",
    "    feature_data = feature_data.reshape((rows, cols))\n",
    "    \n",
    "    numpy.save(f, feature_data)\n",
    "    \n",
    "with open(\"data/predictor_deltas.npy\", \"wb\") as f:\n",
    "    numpy.save(f, predictor_deltas )\n",
    "    \n",
    "with open(\"data/normed_judgments.txt\", \"wt\") as f:\n",
    "    judgments_to_file(f, normed_judgments)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Next up, finally training (and evaluating) a model\n",
    "\n",
    "You're finally ready to train a model. Let's jump to it in the next and final notebook for the chapter.\n",
    "\n",
    "Up next: [Train a Model, Evaluate, and Use in the Search Engine](4.train-and-evaluate-the-model.ipynb)"
   ]
  }
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